Answer:
The time period of a simple pendulum if it takes 72 seconds to complete 24 oscillation will be 3 seconds.
Step-by-step explanation:
Total number of oscillations = 24
Time taken to complete 24 oscillations = 2 seconds
So, the frequency 'f' of the simple pendulum will be:


Let 'T' be the time period.





Therefore, the time period of a simple pendulum if it takes 72 seconds to complete 24 oscillation will be 3 seconds.
Answer: n is 3
Step-by-step explanation: n can only be 3 as a triangle is the only polygon whose internal angles have a sum of 180 degrees
Answer:
(A)
Step-by-step explanation:
From the given figure, we have to prove whether the two given triangles are congruent or similar.
Thus, From the figure, ∠3=∠4 (Vertically opposite angles)
Since, KL and NO are parallel lines and KO and LN are transversals, then
measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).
Thus, by AA similarity rule, ΔKLM is similar to ΔONM.
Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.
Answer: 
Step-by-step explanation:
^{2} +(-3-3)^{2} \\\sqrt64+36\\\sqrt100\\=10](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%28-4-4%29%5E%7B2%7D%20%2B%28-3-3%29%5E%7B2%7D%20%5C%5C%5Csqrt64%2B36%5C%5C%5Csqrt100%5C%5C%3D10)
Answer:
y = - 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 5 ← is in slope- intercept form
with m = - 2, thus
y = - 2x + c ← is the partial equation of the line
To find c substitute (- 4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = - 2x - 13 ← equation of line